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Finding the Fourth Proportional to 207,804, 286,923.24 and 127,341.48

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Solution

The fourth proportional to 207,804, 286,923.24 and 127,341.48 is: 175,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,804 : 286,923.24 = 127,341.48 : x
  2. Step 2: Convert to fraction form
    207,804/286,923.24 = 127,341.48/x
  3. Step 3: Cross multiply
    207,804x = 286,923.24 × 127,341.48
  4. Step 4: Simplify right side
    207,804x = 36,537,230,028.00
  5. Step 5: Solve for x
    x = 36,537,230,028.00/207,804
  6. Step 6: Final answer
    x = 175,825.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.